Answer:
672.12
Step-by-step explanation:
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p.
Answer:
The best point estimate of the population proportion p is 0.0251.
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea.
This means that [tex]n = 4547, \pi = \frac{114}{4547} = 0.0251[/tex]
The best point estimate of the population proportion p is 0.0251.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 - 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0191[/tex]
The upper limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 + 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0311[/tex]
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide.
Answer:
Step-by-step explanation:
The width of the actual statue is 30 feet and that of the model is 3 ft. What is the scale? 3 ft divided by 30 ft is 1/10.
The smaller model will be 1/10 the size of the actual Statue of Liberty.
Answer:
Solution :-Tall : Width
300 : 30
x : 3
By cross multiplication
3(300) = 30(x)
900 = 30x
900/30 = x
30 = x
[tex] \\ [/tex]
hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah
tolong bantuannya kakak kakak
Answer:
14
Step-by-step explanation:
Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4
According to indices;
[tex]a^{m/n} = (\sqrt[n]{a}) ^m[/tex]
Applying this to the question
[tex]64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32[/tex]
Similarly
[tex]27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\[/tex]
Also;
[tex]81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27[/tex]
Substitute inti the original equation
64^5/6 + 27^2/3 - 81^3/4
= 32 + 9- 27
= 41 - 27
= 14
Hence the required answer is 14
Plot the vertices (–4, –4), (–2, 1), and (5, 1).
To form a parallelogram, plot the last vertex at point
✔ (3, –4)
.
The area of the parallelogram is
✔ 35
square units.
Answer:
✔ (3, –4)
✔ 35
Step-by-step explanation:
if the endpoints of a circles are at (-5, 6) and (3, -7), what is the length of the radius rounded to the nearest tenth?
Answer:
7.632169 units
Step-by-step explanation:
7.6 is radius Step-by-step explanation:
There are 90 girls and 60 boys in sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders write left-handed.
10%
8%
5%
15%
Answer:
8% of the kids are left-handed. I used 12/150 to yield 0.08 which equals 8%
can someone find the surface area for this?
Answer: the triangles should be 203.391 and the rectangle is 74.4 so in total it would be 481.182
Step-by-step explanation:
Solve for c when,
[tex]7c = 28[/tex]
Answer:
c = 4
Step-by-step explanation:
hope this helps
Consider the function f(x)=x^2
What effect does adding 2 to the input have on the graph of the function?
(a) shifts the graph right 2
(b) shifts the graph up 2
(c) shifts the graph down 2
(d) compresses the graph horizontally by 2
(e) stretches the graph vertically by 2
(f) shifts the graph left 2
Answer:
b
Step-by-step explanation:
if the 2 is like this (x+2) it would move to the left but if its like this x+2 it would move up
PLS HELP I PROMISE ILL GIVE U BRAINLEST
5:15pm was the start time.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Susan buys the items listed below at a grocery store.
2 packages of chicken priced at $12.36 per package
1 halfpound of broccoli priced at $1.98 per pound
1 gallon of milk priced at $3.49 per gallon
There is no sales tax on the food she buys. Susan pays for the item and receives $0.80 in change. What amount of money does Susan use to pay for the items?
please show your work.free 31 points
Answer:
Susan should get a loan and jjustpay without stressing herself and calculaitingthis
Step-by-step explanation:
help asap pls, thank u
Answer:
1243.4 [tex]cm^{3}[/tex]
Step-by-step explanation:
what are all possible values for x in the equation x^3=375?
can you please solve this step by step?
will give brainliest
Answer:
[tex]x=5\sqrt[3]{3}[/tex] or 7.21
Step-by-step explanation:
x³ = 375
You have to take the square root and have the index 3:
You have to have the index 3 because x is cubed and you have to get rid of the cubed sign since a normal square root is for when the exponent is 2:
[tex]\sqrt[3]{x^3} =\sqrt[3]{375} \\x=5\sqrt[3]{3}[/tex]
In decimal form (rounded to hundredths):
7.21
please help me with 5
Answer:
JL = 38
Step-by-step explanation:
Since JK ≅ KL , then Δ JKL is isosceles and KM is a perpendicular bisector, so
JM = ML , that is
14x - 9 = 8x + 3 ( subtract 8x from both sides )
6x - 9 = 3 ( add 9 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Then
JL = 14x - 9 + 8x + 3 = 22x - 6 = 22(2) - 6 = 44 - 6 = 38
Which of the following describes the graph of
f(x) = x2 – 5x + 6?
A.The graph opens downward and has
x-intercepts at (2,0) and (3,0).
B.The graph opens downward and has
x-intercepts at (-2,0) and (-3,0).
C.The graph opens upward and has
x-intercepts at (2,0) and (3,0).
D.The graph opens upward and has
x-intercepts at (-2,0) and (-3,0).
Answer:
C
Step-by-step explanation:
x=2and3 y is 0
leading coefficient is positive so open upward
Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?
Answer:
$8
Step-by-step explanation:
I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.
24 divided by 3 equals 8.
Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.
Answer:
a = 15b
Step-by-step explanation:
It's given in the question that Alice has 15 times as many crayons as Bryan.
Let the number of crayons with Bryan = b
And the number of crayons with Alice = a
Therefore, equation representing the number of crayons with Alice will be,
a = 15b
can someone help?? i’ll mark brainlist
Answer:
G. y = -[tex]\frac{1}{9}[/tex](x - 2)² -3
Step-by-step explanation:
There's this website called Desmos it has graphing calculators that will help you on these type of questions. This is not a random website so please trust me.
The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
g(x) is represented by the equation g(x)= -(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?
Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
7th grade math help me pleaseeee
Answer:
1) 40
2) -11
Step-by-step explanation:
1.
5(3)+3(5)+2(3)+4
15+15+6+4
30+10 = 40
2.
6(3)-7(5)+2(3)
18-35+6
-17+6 = -11
2. 5x2 + 16x - 84 = 0
Helppp please
Answer:
the x would equal 25 as 5x2 is 10 + 16x25 - 84 is 0.
Step-by-step explanation:
Answer:
2.8, –6
Step-by-step explanation:
The equation is already instandard form. Use the quadraticformula.5x2+16x−84=0x=−b±b2−4ac√2aSubstitute 5 for a, 16 for b,and −84 for c. Solve to getx=2. 8 or x=− 6.
David puts 0 . 40.4 liters of solution in each of 55 beakers.
How much solution is there in total?
Answer:
2 liters
Step-by-step explanation:
There are 5 beakers in total, in which David adds 0.4 liters into each of them. To solve, multiply 5 with 0.4: 5 x 0.4 = 2.0 2.0 or 2 liters is your answer.
Answer: 2 liters
Step-by-step explanation: There are 5 beakers in total, in which David adds 0.4 liters into each of them. To solve, multiply 5 with 0.4: 5 x 0.4 = 2.0
2.0 or 2 liters is your answer.
What angle pair is pictured?
1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles
Step-by-step explanation:
Alternate and corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
it has six points
it is a corresponding angles
The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent over 15 years?
Answer:
1 year= 12 months
1 months rent=1783
1783x12=21396
15 years = 180 months
the equation would be
1783x180=320940
or
21396x15= 320940
Let f (x) = -1/2(x + 2)+ 5
-3 to x=1?
What is the average rate of change for the quadratic function from x=-3 to x=1
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = [tex] \frac{0.5 - 4.5}{1 - (-3)} [/tex]
Rate of change = [tex] \frac{-4}{4} [/tex]
Rate of change = -1
Please help me! This may be easy for some of you..
Answer:
9) 5
10) 5x+2
11) -1
12) -x+6
If it takes Joshua 34 minutes to complete her homework assignment for 10 problems write the two variable line equation that represent Joshua constant rate of work
Answer:
y = 3.4x
Step-by-step explanation:
34 minutes to 10 problems is a ratio of 3.4 minutes to 1 problem.
The ratio of minutes to problems is the constant of proportionality.
y = kx
y = 3.4x
Answer: y = 3.4x
HELP ASAP PLEASE!!!!!!!!
Answer:
2/3
Step-by-step explanation:
Nieves y Ana juegan tres partidas partidas. Nieves tenía 10 cromos y Ana 80. En la primera partida ganó Nieves y elevó sus cromos al cuadrado, en la segunda perdió el cubo de 3, y en la tercera perdió el cuadrado de 4. ¿Cuántos cromos les quedan a Ana y a Nieves?¿Quién ha ganado?
Answer:
A Nieves le quedan 57 cromos y a Ana 33.
Nieves ha ganado 47 cromos
Step-by-step explanation:
Para la primera partida, el cuadrado de los cromos de Nieves es de 100.
El cubo de 3 es 27. Nieves queda con 100-27 = 73 cromos
El cuadrado de 4 es 16. Nieves queda con 73-16 = 57 cromos
A Nieves le quedan 57 cromos
A Ana 90-57 = 33 cromos
Así, Nieves ha ganado 57-10 = 47 cromos